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High Energy Physics - Theory

Title:
Vacuum Polarization Renormalization and the Geometric Phase

Abstract: As an application of the renormalization method introduced by the second
author we give a causal definition of the phase of the quantum scattering
matrix for fermions in external Yang-Mills potentials. The phase is defined
using parallel transport along the path of renormalized time evolution
operators. The time evolution operators are elements of the restricted unitary
group $U_{res}$ of Pressley and Segal. The central extension of $U_{res}$ plays
a central role.

Comments:

5 pages in AMSTEX format. This is a talk given by Jouko Mickelsson at "XXI. Colloquium on Group Theoretical Methods in Physics" in Goslar, July 1996